Предмет: Геометрия, автор: Олькаааааа

найдите площадь равнобедренного прямоугольного треугольника с гипотенузой 10см.

Ответы

Автор ответа: Тэлия

По теореме Пифагора:

$AB^{2}=AC^{2}+BC^{2}\ AB^{2}=2*AC^{2}\ 2*AC^{2}=100\ AC^{2}=50\ AC=5sqrt{2}\$

Площадь прямоугольного треугольника равна половине произведения катетов

$S=frac{AC*BC}{2}=frac{AC^{2}}{2}=<strong>25</strong>$

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